Step 1: Recall the function of a digital frequency counter.
A digital frequency counter counts the number of cycles of an input signal during a precise time interval.
Step 2: Identify the most accurate instrument.
Since it provides direct digital measurement with high accuracy,
\[
\boxed{\text{Digital frequency counter}}
\]
is the most accurate instrument for measuring frequency.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.
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